Here's the thing: TODAY, when a man and a woman get hired, unless there is a clear distinction between what the man is hired to do and the woman is hired to do, the pay will be approximately equal. There is data to the effect that for recent grads with comparable degrees, women are getting MORE than men with the "same" credentials.
So for millennials and other young 'uns, they have essentially nothing to complain about. The "seventy-seven cent" myth is based on gross numbers, and makes no allowances for hours worked, experience, responsibility, or the economic value of the work done.
But for women who entered the work force before '95 or so, they were placed in career paths that were lower than men of comparable credentials. This was because it was felt that a woman does not have the same dedication to the job. She will not work 60 hours a week, she will take days off when HER KIDS GET SICK, she will decline relocation to advance her career, she will shy away from overnight travel because there is a problem with the babysitter, she will take months at a time away from work to procreate, and so on. All true but it is now considered "unfair" to take these real factors into account when assessing a potential employee. Further, today's young women care less for family and kids, so maybe the real drawbacks of female employment of yesteryear are fading away.
My wife started with a major bank in 1975, having a degree, with honors, in "Education." She started as a teller, and had no real chance to get into management for 8-10 years after she started. She had a fine career, but never caught up, compensation wise, either annually or cumulatively. Her Brother, started with the same bank at the same time and was put into a management training program, based on no work experience and a degree in PoliSci - no honors whatsoever. By mid-career, she had passed him up in the food chain, but she NEVER caught a break for being a woman. Much the opposite. She had to prove herself again and again, where men going to the same positions were presumed to be competent and capable.
The story is complicated, but as I opine above, TODAY's women have not a thing to complain about.